• Title/Summary/Keyword: layered finite element

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The Free Vibration Analyses by Using Two Dimensional 6-Node Element and Three Dimensional 16-Node element with Modification of Gauss Sampling Point (가우스 적분점을 수정한 2차원 6-절점 요소 및 3차원 16-절점 요소에 의한 자유진동해석)

  • 김정운;경진호;권영두
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.11
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    • pp.2922-2931
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    • 1994
  • We propose a modified 6-node element, where the sampling point of Gauss quadrature moved in the thickness direction. The modified 6-node element has been applied to static problems and forced motion analyses. In this study, this method is extended to the finite element analysis of the natural frequencies of two dimensional problems. We also propose a modified 16-node element for three dimensional problems, which behaves much like a 20-node element with smaller degree of freedom. The modified 6-node and 16-node elements have been applied to the modal analyses of beams and plates, respectively. The results agree well with the results of the 8-node or 20-node element models.

Failure Analysis of RC Cylindrical Structures using Volume-Control Method (체적제어법에 의한 철근 콘크리트 원통형 구조물의 파괴 해석)

  • 송하원;방정용;변근주
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1999.04a
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    • pp.195-202
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    • 1999
  • In this Paper, a so-called volume-control method for nonlinear failure analysis of reinforced concrete cylindrical structures is proposed. The pressure node which defines uniform change of pressure on finite element is added into layered shell element utilizing in-plane constitutive models of reinforced concrete and layered formulation. With the pressure node formulation, one can control the change in volume enclosed by the cylindrical structures and determine the required change in pressure. An algorith of volume-control method is employed and failure analyses for RC cylindrical structures are carried out using proposed method.

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New Approach for Nonlinear Analysis of Reinforced Concrete Frames (철근콘크리트 골조 비선형해석의 새로운 기법)

  • 김진근;이태규;양주경
    • Proceedings of the Korea Concrete Institute Conference
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    • 1992.04a
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    • pp.47-52
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    • 1992
  • The entire nonlinear behavior of reinforced concrete frames up to collapse, is analyzed by the displacement control method and the combined layered and nonlayered method. All of the rigidities of section are calculated approximately by a sum over all the layers for the layered method, are used the integral values over the cross section area for the nonlayered method. The spurious sensitivity to the chosen element size in the result of analysis by finite element method for the materials with strain-softening can be overcome by modifying the strain distribution based on the concept of fracture energy at plastic hinge considering the applied axial load.

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Site Response Analysis in Time Domain Using Finite Element (시간영역에서 유한요소법을 이용한 지진시의 지반응답해석)

  • You, Hee-Yong;Lee, Jae-Young;Park, Young-Tack
    • Journal of The Korean Society of Agricultural Engineers
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    • v.48 no.6
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    • pp.45-56
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    • 2006
  • The finite element method is a practical tool to compute the response of the irregularly layered soil deposit to the base-rock motions. The method is useful not only in estimating the interaction between the structure and the surrounding soil as a whole and the local behavior of the contacting area in detail, but also in predicting the resulting behavior of the superstructure affected by such soil-structure interactions. However, the computation of finite element analysis is marched in the time domain (TD), while the site response analysis has been carried out mostly in the frequency domain (FD) with equivalent linear analysis. This study is intended to compare the results of the TD and FD analysis with focus on the peak response accelerations and the predominant frequencies, and thus to evaluate the applicability and the validity of the finite element analysis in the site response analysis. The comparison shows that one can obtain the results very close to that of FD analysis, from the finite element analysis by including sufficiently large width of foundation in the model and further by applying partial mode superposition. The finite element analysis turned out to be well agreeing with FD analysis in their computed results of the peak acceleration and the acceleration response spectra, especially at the surface layer.

Inelastic vector finite element analysis of RC shells

  • Min, Chang-Shik;Gupta, Ajaya Kumar
    • Structural Engineering and Mechanics
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    • v.4 no.2
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    • pp.139-148
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    • 1996
  • Vector algorithms and the relative importance of the four basic modules (computation of element stiffness matrices, assembly of the global stiffness matrix, solution of the system of linear simultaneous equations, and calculation of stresses and strains) of a finite element computer program for inelastic analysis of reinforced concrete shells are presented. Performance of the vector program is compared with a scalar program. For a cooling tower problem, the speedup factor from the scalar to the vector program is 34 for the element stiffness matrices calculation, 25.3 for the assembly of global stiffness matrix, 27.5 for the equation solver, and 37.8 for stresses, strains and nodal forces computations on a Gray Y-MP. The overall speedup factor is 30.9. When the equation solver alone is vectorized, which is computationally the most intensive part of a finite element program, a speedup factor of only 1.9 is achieved. When the rest of the program is also vectorized, a large additional speedup factor of 15.9 is attained. Therefore, it is very important that all the modules in a nonlinear program are vectorized to gain the full potential of the supercomputers. The vector finite element computer program for inelastic analysis of RC shells with layered elements developed in the present study enabled us to perform mesh convergence studies. The vector program can be used for studying the ultimate behavior of RC shells and used as a design tool.

3D Incident Wave Response of Structures on Layered Media (다층 반무한 지반-구조물계의 입사파 응답해석)

  • Kim, Moon-Kyum;Cho, Woo-Yeon;Koh, Jae-Pil
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1999.10a
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    • pp.317-324
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    • 1999
  • Dynamic interaction analysis of surface structure on layered half-space is performed in frequency domain under incident wave excitation. This present study adopts a coupling method that combines the finite element(FE) for the flexible structures and boundary element(BE) for the layered half-space. A semi-analytical approach is employed to reduce the integration range of wavenumbers in the BE formula. For the incident wave input, the response is decomposed and formulated after the impedance matrix for the structure system. Numerical examples are presented to demonstrate the accuracy of the method. The examples show the feasibility of an extended application to the complicated dynamic analysis of structures on layered media under incident wave excitation.

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Forced Vibration Analysis of Multi-Layered Damped Sandwich Beam (샌드위치형 다층 감쇠보의 강제진동 응답 해석)

  • Won, Sung-Gyu;Jung, Weui-Bong
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2005.11a
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    • pp.608-611
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    • 2005
  • In this paper the general equation of motion of damped sandwich beam including arbitrary viscoelastic material layer was derived based on the equation presented by Mead and Markus. The equation of motion of n-layered sandwich beam was represented by (n+3)th order ordinary differential equation. It was verified that the general equation of motion derived in this paper could represent the equations of motions for single-layered, three-layered, five-layered and multi-layered damped beam. Finite element method for the arbitrary-layered damped beam was formulated and programmed using higher order shape functions. Several numerical examples were implemented to show the effects of damped material.

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Investigation into the behaviour of deep beam with web openings by finite element

  • Doh, Jeung-Hwan;Yoo, Tae-Min;Miller, Dane;Guan, Hong;Fragomeni, Sam
    • Computers and Concrete
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    • v.10 no.6
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    • pp.609-630
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    • 2012
  • Currently, the design of reinforced concrete deep beams with web openings is carried out using empirical or semi-empirical methods and hence their scope of application is limited. In particular, high strength concrete deep beams with various web opening configurations have been given little treatment. In view of this, a nonlinear layered finite element method (LFEM) for cracking and failure analysis of reinforced concrete structures is used to conduct a parametric study to investigate reinforced concrete deep beams various web opening behaviours. This paper initially presents comparisons of LFEM output with published test results to numerical techniques. The paper then focuses on a parametric study on the shear strengths of deep beams with varying web opening configurations such as opening sizes and locations. The results confirm that the current design methods are inadequate in predicting the maximum shear strength when web openings are present. A series of parametric study offers insight into the maximum shear strength of the deep beams being critically influenced by the size and location of web openings.

Analysis of Aggregate Base Behavior Using Layered Elastic and Finite Element Methods (다층탄성해석과 유한요소법을 사용한 골재기층의 거동분석)

  • Kim, Sung-Hee
    • International Journal of Highway Engineering
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    • v.11 no.1
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    • pp.195-201
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    • 2009
  • In this paper, the critical strains for pavement design were calculated from both Layered Elastic Program (LEP) and Finite Element Method (FEM) and the case studies which give similar critical responses were compared. Although FEM has been realized as a superior model, LEP is more favorable to pavement design due to its simplicity and thus, the technique to calculate the correct critical responses using LEP is significant. This study showed that KENLAYER can possibly estimate the critical responses close to ones obtained from TTIPAVE, which considers nonlinear cross-anisotropic behavior of unbound base materials, by adjusting the stress point locations.

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Short- and long-term analyses of composite beams with partial interaction stiffened by a longitudinal plate

  • Ranzi, Gianluca
    • Steel and Composite Structures
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    • v.6 no.3
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    • pp.237-255
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    • 2006
  • This paper presents a novel analytical formulation for the analysis of composite beams with partial shear interaction stiffened by a bolted longitudinal plate accounting for time effects, such as creep and shrinkage. The model is derived by means of the principle of virtual work using a displacement-based formulation. The particularity of this approach is that the partial interaction behaviour is assumed to exist between the top slab and the joist as well as between the joist and the bolted longitudinal stiffening plate, therefore leading to a three-layered structural representation. For this purpose, a novel finite element is derived and presented. Its accuracy is validated based on short-and long-term analyses for the particular cases of full shear interaction and partial shear interaction of two layers for which solutions in closed form are available in the literature. A parametric study is carried out considering different stiffening arrangements to investigate the influence on the short-and long-term behaviour of the composite beam of the shear connection stiffness between the concrete slab and the steel joist, the stiffness of the plate-to-beam connection, the properties of the longitudinal plate and the concrete properties. The values of the deflection obtained from the finite element simulations are compared against those calculated using the effective flexural rigidity in accordance with EC5 guidelines for the behaviour of elastic multi-layered beams with flexible connection and it is shown how the latter well predicts the structural response. The proposed numerical examples highlight the ease of use of the proposed approach in determining the effectiveness of different retrofitting solutions at service conditions.